Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry
A growing fatigue crack in metallic materials and structures exhibits multifractal features that inherit signatures of the crack growth rate behavior of the material. This study exploits the recently established multifractal fatigue crack growth model to quantify the characteristic fatigue crack gro...
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| Format: | Article |
| Language: | English |
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MDPI
2022
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| Online Access: | http://eprints.utm.my/104033/1/MohdNasirTamin2022_FractalAnalysisforFatigueCrackGrowth.pdf |
| _version_ | 1796867577505382400 |
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| author | Hashmi, Mudassar Hussain Koloor, Seyed Saeid Rahimian Abdul Hamid, Mohd. Foad Tamin, Mohd. Nasir |
| author_facet | Hashmi, Mudassar Hussain Koloor, Seyed Saeid Rahimian Abdul Hamid, Mohd. Foad Tamin, Mohd. Nasir |
| author_sort | Hashmi, Mudassar Hussain |
| collection | ePrints |
| description | A growing fatigue crack in metallic materials and structures exhibits multifractal features that inherit signatures of the crack growth rate behavior of the material. This study exploits the recently established multifractal fatigue crack growth model to quantify the characteristic fatigue crack growth rate response of the AISI 410 martensitic stainless steel using an L-shaped bell crank structure. The objective is to demonstrate that the fatigue crack growth rate response of the material could be established by quantifying the fractality of the growing crack. The fractal approach avoids the need of the crack geometry factor when calculating the crack tip driving force. The fractal analysis of the crack image employs the box-counting algorithm to determine the fractal dimension along the edge of the crack length. The analysis is confined to the power law crack growth rate stage (Paris crack growth regime). Results show that the fatigue crack growth path in the bell crank structure is dictated by the Mode I (opening) component of the crack loading. The distribution of fractal-based fatigue crack growth rate data is within the 99% confidence limit of the median crack growth response by the Paris equation. Thus, the model could be employed for prediction of the fatigue crack growth response of engineering structures where the crack geometry factor is not readily available. |
| first_indexed | 2024-03-05T21:29:21Z |
| format | Article |
| id | utm.eprints-104033 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T21:29:21Z |
| publishDate | 2022 |
| publisher | MDPI |
| record_format | dspace |
| spelling | utm.eprints-1040332024-01-14T00:47:54Z http://eprints.utm.my/104033/ Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry Hashmi, Mudassar Hussain Koloor, Seyed Saeid Rahimian Abdul Hamid, Mohd. Foad Tamin, Mohd. Nasir TJ Mechanical engineering and machinery A growing fatigue crack in metallic materials and structures exhibits multifractal features that inherit signatures of the crack growth rate behavior of the material. This study exploits the recently established multifractal fatigue crack growth model to quantify the characteristic fatigue crack growth rate response of the AISI 410 martensitic stainless steel using an L-shaped bell crank structure. The objective is to demonstrate that the fatigue crack growth rate response of the material could be established by quantifying the fractality of the growing crack. The fractal approach avoids the need of the crack geometry factor when calculating the crack tip driving force. The fractal analysis of the crack image employs the box-counting algorithm to determine the fractal dimension along the edge of the crack length. The analysis is confined to the power law crack growth rate stage (Paris crack growth regime). Results show that the fatigue crack growth path in the bell crank structure is dictated by the Mode I (opening) component of the crack loading. The distribution of fractal-based fatigue crack growth rate data is within the 99% confidence limit of the median crack growth response by the Paris equation. Thus, the model could be employed for prediction of the fatigue crack growth response of engineering structures where the crack geometry factor is not readily available. MDPI 2022 Article PeerReviewed application/pdf en http://eprints.utm.my/104033/1/MohdNasirTamin2022_FractalAnalysisforFatigueCrackGrowth.pdf Hashmi, Mudassar Hussain and Koloor, Seyed Saeid Rahimian and Abdul Hamid, Mohd. Foad and Tamin, Mohd. Nasir (2022) Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry. Fractal and Fractional, 6 (11). pp. 1-12. ISSN 2504-3110 http://dx.doi.org/10.3390/fractalfract6110635 DOI : 10.3390/fractalfract6110635 |
| spellingShingle | TJ Mechanical engineering and machinery Hashmi, Mudassar Hussain Koloor, Seyed Saeid Rahimian Abdul Hamid, Mohd. Foad Tamin, Mohd. Nasir Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| title | Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| title_full | Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| title_fullStr | Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| title_full_unstemmed | Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| title_short | Fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| title_sort | fractal analysis for fatigue crack growth rate response of engineering structures with complex geometry |
| topic | TJ Mechanical engineering and machinery |
| url | http://eprints.utm.my/104033/1/MohdNasirTamin2022_FractalAnalysisforFatigueCrackGrowth.pdf |
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